78934901760 has 1100 divisors, whose sum is σ = 335075927340. Its totient is φ = 17663754240.

The previous prime is 78934901737. The next prime is 78934901761. The reversal of 78934901760 is 6710943987.

It is a happy number.

78934901760 is a `hidden beast` number, since 7 + 8 + 93 + 490 + 1 + 7 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19430129664 + 59504772096 = 139392^2 + 243936^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 78934901697 and 78934901706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78934901761) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 6071915514 + ... + 6071915526.

Almost surely, 2^78934901760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78934901760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167537963670).

78934901760 is an abundant number, since it is smaller than the sum of its proper divisors (256141025580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

78934901760 is an equidigital number, since it uses as much as digits as its factorization.

78934901760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 78934901760 in words is "seventy-eight billion, nine hundred thirty-four million, nine hundred one thousand, seven hundred sixty".